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Finding the Fourth Proportional to 590,676.11, 813,417.62 and 513,116.18

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Solution

The fourth proportional to 590,676.11, 813,417.62 and 513,116.18 is: 706,610.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,676.11 : 813,417.62 = 513,116.18 : x
  2. Step 2: Convert to fraction form
    590,676.11/813,417.62 = 513,116.18/x
  3. Step 3: Cross multiply
    590,676.11x = 813,417.62 × 513,116.18
  4. Step 4: Simplify right side
    590,676.11x = 417,377,735,286.42
  5. Step 5: Solve for x
    x = 417,377,735,286.42/590,676.11
  6. Step 6: Final answer
    x = 706,610.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.